Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880cw |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
172889640000 = 26 · 36 · 54 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1413,-4212] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:126:1] |
Generators of the group modulo torsion |
j |
6687175104/3705625 |
j-invariant |
L |
5.8196293895818 |
L(r)(E,1)/r! |
Ω |
0.83430696199638 |
Real period |
R |
1.7438513864177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999657718 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110880bq1 12320c1 |
Quadratic twists by: -4 -3 |